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Observer-Based PID Control Protocol of Positive Multi-Agent Systems

Author

Listed:
  • Xiaogang Yang

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

  • Mengxing Huang

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

  • Yuanyuan Wu

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

  • Siling Feng

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

Abstract

This paper proposes the observer-based proportional-integral-derivative control of positive multi-agent systems. First, a positive observer is constructed for the considered multi-agent systems in terms of a matrix decomposition approach. Then, a novel proportional-integral-derivative protocol framework is proposed based on an improved observer. By using copositive Lyapunov function, the positivity and consensus of the multi-agent systems are achieved. The corresponding observer and control protocol gain matrices are designed in terms of linear programming. Moreover, the proposed design is developed for heterogeneous positive multi-agent systems. The main contributions of this paper include the following: (i) A positive observer is constructed to estimate the states of positive multi-agent systems; (ii) A novel observer-based proportional-integral-derivative protocol is designed to handle the consensus problem of positive multi-agent systems; and (iii) The presented conditions are solvable in terms of linear programming and the gain matrices can be constructed based on a matrix decomposition technology. Finally, two illustrative examples are provided to verify the effectiveness of the design.

Suggested Citation

  • Xiaogang Yang & Mengxing Huang & Yuanyuan Wu & Siling Feng, 2023. "Observer-Based PID Control Protocol of Positive Multi-Agent Systems," Mathematics, MDPI, vol. 11(2), pages 1-23, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:419-:d:1034314
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    References listed on IDEAS

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    1. Ma, Qian & Miao, Guoying, 2015. "Output consensus for heterogeneous multi-agent systems with linear dynamics," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 548-555.
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    Cited by:

    1. Qi Liu & Hong Lu & Heisei Yonezawa & Ansei Yonezawa & Itsuro Kajiwara & Ben Wang, 2023. "Grey-Wolf-Optimization-Algorithm-Based Tuned P-PI Cascade Controller for Dual-Ball-Screw Feed Drive Systems," Mathematics, MDPI, vol. 11(10), pages 1-29, May.

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